ASSIGNMENT NO.1 For the power system shown in Fig.(1). The transmission lines are identical, and each can be represented by a series impedance of (0.0101 + j 0.0505)pu on 100MVA base. The voltage magnitude at bus2 is kept at 1.03 pu. The bus data are shown on the figure: 1. What functions do the swing bus and PV buses in load flow calculations have? How should they be selected? 2. Write the bus admittance matrix for the given system. 3. Obtain the load flow solution by using Gauss-Seidel method. Perform one iteration 4. Calculate the line losses for the line connecting bus2 to bus 3. 5. Calculate the slack bus power generation. P2= 150 MW PIVI bus 1 IVl=1.03 pu Slack bus Vi=1.0240° pu Sp3= Spi= 30 MW +j10 MVAR 50 MW +j25 MVAR Spz= 20 MW +j5 MVAR Fig. (1)

ASSIGNMENT NO.1 For the power system shown in Fig.(1). The transmission lines are identical, and each can be represented by a series impedance of (0.0101 + j 0.0505)pu on 100MVA base. The voltage magnitude at bus2 is kept at 1.03 pu. The bus data are shown on the figure: 1. What functions do the swing bus and PV buses in load flow calculations have? How should they be selected? 2. Write the bus admittance matrix for the given system. 3. Obtain the load flow solution by using Gauss-Seidel method. Perform one iteration 4. Calculate the line losses for the line connecting bus2 to bus 3. 5. Calculate the slack bus power generation. P2= 150 MW PIVI bus 1 IVl=1.03 pu Slack bus Vi=1.0240° pu Sp3= Spi= 30 MW +j10 MVAR 50 MW +j25 MVAR Spz= 20 MW +j5 MVAR Fig. (1)

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.43P

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1. FIGURE 52 shows the one-line diagram of a simple three-bus power system with generation at bus I. The voltage at bus l is V1 = 1.0L0° per unit. The scheduled loads on buses 2 and 3 are marked on the diagram. Line impedances are marked in per unit on a 100 MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected a) Using Gauss-Seidel method and initial estimates of Va 0)-1.0+)0 and V o)- ( 1.0 +j0, determine V2 and V3. Perform two iterations (b) If after several iterations the bus voltages converge to V20.90-j0.10 pu 0.95-70.05 pu determine the line flows and line losses and the slack bus real and reactive power. 2 400 MW 320 Mvar Slack 0.0125 0.05 300 MW 270 Mvar FIGURE 52
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